1. Purity as a measure of entanglement between two distant mechanical mirrors.
- Author
-
Benrass, Noureddine, Lakhfif, Abderrahim, Amazioug, Mohamed, Habiballah, Nabil, and Nassik, Mostafa
- Subjects
SQUEEZED light ,QUANTUM information theory ,QUANTUM entanglement ,QUANTUM states ,THERMAL noise ,COHERENCE (Optics) ,MODE-locked lasers - Abstract
Characterizing and quantifying quantum entanglement in states of open quantum systems are at the heart of quantum information theory. In this work, we study the mixedness and entanglement of a two-mode symmetrical Gaussian state evolving in a thermal Markovian environment. The considered state is that of two movable end-mirrors of two distant Fabry–Pérot cavities coupled via a two-mode squeezed light and driven by coherent lasers. We use the logarithmic negativity to consistently quantify the degree of entanglement between the two mechanical modes. The purity is employed as a witness of mixedness and characterize of entanglement in the two-mode mechanical bi-partition. By comparing the behavior of the logarithmic negativity with that of the purity under the effect of various parameters and based on the entanglement classification established in [G. Adesso, A. Serafini and F. Illuminati, Phys. Rev. Lett.92, 087901 (2004)], we found that the purity can be used as a characterize and measure of entanglement in the two-mode symmetrical state when the squeezing parameter is fixed. The effects of thermal noise, squeezing and optomechanical coupling are also discussed in detail. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF